Basic Math Examples

2 \frac{5}{8} \div 2

$2 \frac{5}{8} \div 2$

Step 1

Convert

2 \frac{5}{8}

$2 \frac{5}{8}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

(2 + \frac{5}{8}) \div 2

$(2 + \frac{5}{8}) \div 2$

Step 1.2

Add

2

$2$ and

\frac{5}{8}

$\frac{5}{8}$ .

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Step 1.2.1

To write

2

$2$ as a fraction with a common denominator, multiply by

\frac{8}{8}

$\frac{8}{8}$ .

(2 \cdot \frac{8}{8} + \frac{5}{8}) \div 2

$(2 \cdot \frac{8}{8} + \frac{5}{8}) \div 2$

Step 1.2.2

Combine

2

$2$ and

\frac{8}{8}

$\frac{8}{8}$ .

(\frac{2 \cdot 8}{8} + \frac{5}{8}) \div 2

$(\frac{2 \cdot 8}{8} + \frac{5}{8}) \div 2$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{2 \cdot 8 + 5}{8} \div 2

$\frac{2 \cdot 8 + 5}{8} \div 2$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

2

$2$ by

8

$8$ .

\frac{16 + 5}{8} \div 2

$\frac{16 + 5}{8} \div 2$

Step 1.2.4.2

Add

16

$16$ and

5

$5$ .

\frac{21}{8} \div 2

$\frac{21}{8} \div 2$

\frac{21}{8} \div 2

$\frac{21}{8} \div 2$

\frac{21}{8} \div 2

$\frac{21}{8} \div 2$

\frac{21}{8} \div 2

$\frac{21}{8} \div 2$

Step 2

Rewrite the division as a fraction.

\frac{\frac{21}{8}}{2}

$\frac{\frac{21}{8}}{2}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

\frac{21}{8} \cdot \frac{1}{2}

$\frac{21}{8} \cdot \frac{1}{2}$

Step 4

Multiply

\frac{21}{8} \cdot \frac{1}{2}

$\frac{21}{8} \cdot \frac{1}{2}$ .

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Step 4.1

Multiply

$\frac{21}{8}$ by

$\frac{1}{2}$ .

$\frac{21}{8 \cdot 2}$

Step 4.2

Multiply

$8$ by

$2$ .

$\frac{21}{16}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{21}{16}$

Decimal Form:

$1.3125$

Mixed Number Form:

$1 \frac{5}{16}$